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formula to measure acre, when all 4 sides are different size

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  • formula to measure acre, when all 4 sides are different size

    Hi,I hope someone can help me.I am trying to figure out how to measure a odd parcel of land all 4 sides are different dimensions.

    Here are the dimensions.

    238' 224' 179' 241'.

    I am trying to sell the property and there seems to be conflict with the size?

    Please help
    Thanks

  • #2
    Re: formula to measure acre, when all 4 sides are different size

    That is an irregular polygon and you cant calculate the area with the given information.

    You will also need to know the length of one of the diagonals. That will enable us to split the odd shape into two triangles which we can then calculate the areas of.

    Comment


    • #3
      Re: formula to measure acre, when all 4 sides are different size

      Wouldn't you just take the average of the sides and the average of the front and back then multiply?

      Comment


      • #4
        Re: formula to measure acre, when all 4 sides are different size

        No that would be terrible inaccurate.

        Take for example a perfect square that is 1 foot wide by 1 foot long. It has an area of 1 square foot. Taking that same square and push the top towards the right making it a parallelogram that is now 1/2 as tall. The sides are still 1 foot by 1 foot, but the area is now only 0.5 square foot.

        It's similar to shapes with all sides unequal. Imagine each side being a stick of a certain length, these sticks connected on the ends by rope. You can move the sticks around making different shapes with different areas, but the length of the sticks never change.

        So an irregular polygon could have an infinite number of possible areas.

        Comment


        • #5
          Re: formula to measure acre, when all 4 sides are different size

          I think Fogt is correct in his explanation. But I believe if you actually can plot the four corners of the land area going by the deed description on paper you can calculate the area in question by subtracting the two irregular triangles remaining from the total area of the square area of the longest leg of your example (241x241/43560=1.33a) The trick is knowing the correct angles of the two irregular triangles. I hope this is not confusing and may be totally incorrect but I am just trying to respond.

          Comment


          • #6
            Re: formula to measure acre, when all 4 sides are different size

            "Unregistered" is correct: you need to know the exact angles, as from the deed description. A property with more than 4 sides needs to be calculated by dividing the shape into squares or rectangles, and triangles, and then figuring the total area of each part then adding them all up. (OR maybe some calculus formula will do it) Our local courthouse Mapping Dept. has some program on their computer that does the math from the property description. MY problem was that the two ends of the property line didn't meet, and slight adjustments had to be made in the numbers so that the two ends would meet (in the computer) and then it could do the math.

            Comment


            • #7
              Re: formula to measure acre, when all 4 sides are different size

              Originally posted by promark
              Hi,I hope someone can help me.I am trying to figure out how to measure a odd parcel of land all 4 sides are different dimensions.

              Here are the dimensions.

              238' 224' 179' 241'.

              I am trying to sell the property and there seems to be conflict with the size?

              Please help
              Thanks
              = 1.0564 Acres

              Comment


              • #8
                Re: formula to measure acre, when all 4 sides are different size

                Originally posted by promark
                Hi,I hope someone can help me.I am trying to figure out how to measure a odd parcel of land all 4 sides are different dimensions.

                Here are the dimensions.

                238' 224' 179' 241'.

                I am trying to sell the property and there seems to be conflict with the size?

                Please help
                Thanks
                238+179/2=208.5
                224+241/2=232.5
                208.5*232.5=48476.25

                Comment


                • #9
                  Re: formula to measure plot, when all 4 sides are different size

                  Dear Sir,

                  Please confirm the area of the plot having the following dimensions by triangular method as we are unable to calculate the correct area and request you to confirm with the sketch.

                  Plot Size 105.13 L x 52.98W x 108.96 L x 47.86 W

                  Thanks and Best Regards,

                  Chaitanya Shirole

                  Comment


                  • #10
                    Re: formula to measure acre, when all 4 sides are different size

                    For a four-sided figure, just the four sides are insufficient to determine the area, as the figure is not rigid. It can be flexed at the corners.

                    At least one more piece of information is required:
                    *Either one of the diagonals (and its relation to the sides.
                    *Or one of the angles (and what sides bound it)

                    The diagonal divides it into two rigid triangles, or the angle allows the diagonal to be calculated.

                    If the sides are known accurately, they have probably been taken from a plat which also specifies the bearing angles of each of the lotlines. That also provides the necessary information.

                    Without that additional information, there is no way to proceed with any real accuracy. There is a theorem that gives an upper bound from the four sides, but the real area could be ANY figure between that upper bound and zero.

                    Comment


                    • #11
                      Re: formula to measure acre, when all 4 sides are different size

                      Originally posted by promark
                      Hi,I hope someone can help me.I am trying to figure out how to measure a odd parcel of land all 4 sides are different dimensions.

                      Here are the dimensions.

                      238' 224' 179' 241'.

                      I am trying to sell the property and there seems to be conflict with the size?

                      Please help
                      Thanks
                      If you use the following formula you can determine the acreage.

                      a x b x 1/2 =e
                      c x d x 1/2 =f

                      add e and f then divide by 43,560'. 43,560 is the square foot area of an acre.

                      ex: 238 x 224 x 1/2 = 26,656
                      179 x 241 x 1/2 = 21,569.5

                      add the totals: 48,225.5

                      now divide by an acre square foot. 48,225.5 / 43,560 = 1.107 acres.

                      Comment


                      • #12
                        Re: formula to measure acre, when all 4 sides are different size

                        Originally posted by Dekerivers101@hotmail.com
                        If you use the following formula you can determine the acreage.

                        a x b x 1/2 =e
                        c x d x 1/2 =f

                        add e and f then divide by 43,560'. 43,560 is the square foot area of an acre.

                        ex: 238 x 224 x 1/2 = 26,656
                        179 x 241 x 1/2 = 21,569.5

                        add the totals: 48,225.5

                        now divide by an acre square foot. 48,225.5 / 43,560 = 1.107 acres.
                        That would only be correct if ab and cd each formed right triangles. If they did, the figure would be a rectangle so the four sides would be two equal pairs. Since this is false, the method does NOT give the correct area.

                        As mentioned earlier, you need one angle, or one diagonal, or the bearings of the four sides in addition to length.

                        Edit: If two opposite angles are known, it can be solved by Bretschneider's formula. Let A and C be the known, opposite angles, and s = 0.5(a+b+c+d), then
                        area = SQRT((s-a)*(s-b)*(s-c)*(s-d) - a*b*c*d*cos²((A+C)/2))

                        This is a maximum when A+C = 180°, making the cosine term zero, and for the given problem is less than or equal to 48044.5 ft². (It could be considerably less, depending on the angles, in fact, nearly zero for "pathological" angles.)

                        Edit 2: Without being completely bizarre, it could be as small as 20198 ft². The angles are essential to any accurate estimate.
                        Last edited by JohnS; 09-07-2008, 09:58 AM.

                        Comment


                        • #13
                          Re: Re: formula to measure plot, when all 4 sides are different size

                          [QUOTE=promark;5231]Hi,I
                          Dear Sir,

                          Please confirm the area of the plot in square feet having the following dimensions by triangular method as we are unable to calculate the correct area and request you to confirm with the sketch.

                          Plot Size 79L x 48.4W x 74L x 49.4 W

                          Thanks and Best Regards,

                          Amjad zishan ali

                          Comment


                          • #14
                            Re: formula to measure plot, when all 4 sides are different size

                            [QUOTE=amjadzishanali@yahoo.com;67880]
                            Originally posted by promark View Post
                            Hi,I
                            Dear Sir,

                            Please confirm the area of the plot in square feet having the following dimensions by triangular method as we are unable to calculate the correct area and request you to confirm with the sketch.

                            Plot Size 79L x 48.4W x 74L x 49.4 W

                            Thanks and Best Regards,

                            Amjad zishan ali
                            There is no triangular method without more info to define the triangles. Please review posts 2, 4, 10, 12 for an explanation of what more we need and why.

                            Without it, I can say the property is greater than or equal to ZERO square feet, and less than or equal to 3735.88 sq ft.

                            Edit: Since none of the sides are equal, the area can't actually collapse to zero. The minimum area is 441.2 ft². The maximum as given above. The shape info is critical, as this range is too wide to be useful.
                            Last edited by JohnS; 01-17-2010, 04:09 PM.

                            Comment


                            • #15
                              Re: formula to measure acre, when all 4 sides are different size

                              please tell me the conversion of these measurements in order for me to know the exact size of this lot 192.02 , 243.36 ,40.00 270.96 thank you

                              Comment

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